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Finding the Fourth Proportional to 307.46, 424.07 and 214.21

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Solution

The fourth proportional to 307.46, 424.07 and 214.21 is: 295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.46 : 424.07 = 214.21 : x
  2. Step 2: Convert to fraction form
    307.46/424.07 = 214.21/x
  3. Step 3: Cross multiply
    307.46x = 424.07 × 214.21
  4. Step 4: Simplify right side
    307.46x = 90,838.96
  5. Step 5: Solve for x
    x = 90,838.96/307.46
  6. Step 6: Final answer
    x = 295.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.